An aircraft flies 800km due east and then 600km due north. Determine the magnitude of it's displacement

it's a 3-4-5 triangle

600-800-?

To determine the magnitude of the aircraft's displacement, we need to calculate the straight-line distance between the starting and ending points of its journey.

First, let's consider the eastward flight of 800km. This motion takes the aircraft horizontally, so it does not contribute to the vertical displacement. Hence, we can ignore it for now.

Next, let's examine the northward flight of 600km. This motion takes the aircraft vertically, without any horizontal displacement.

To find the displacement, we can draw a right-angled triangle with the eastward and northward distances as the legs. The displacement will be the hypotenuse of this triangle, and its magnitude can be calculated using the Pythagorean theorem.

By applying the Pythagorean theorem, we have:

Displacement^2 = (800km)^2 + (600km)^2

Displacement^2 = 640,000km^2 + 360,000km^2

Displacement^2 = 1,000,000km^2

Taking the square root of both sides, we get:

Displacement = √1,000,000km^2

Displacement ≈ 1,000km

Therefore, the magnitude of the aircraft's displacement is approximately 1,000km.